Dimensional formula of frequency is directly proportional to density surface tension and mass
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Consider one of the equations of constant acceleration,
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.s: displacement = a unit of length, L
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.s: displacement = a unit of length, Lut: velocity x time = LT-1 x T = L
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.s: displacement = a unit of length, Lut: velocity x time = LT-1 x T = L1/2at2 = acceleration x time = LT-2 x T2 = L
Consider one of the equations of constant acceleration,s = ut + 1/2 at2. (1)The equation contains three terms: s, ut and 1/2at2. All three terms must have the same dimensions.s: displacement = a unit of length, Lut: velocity x time = LT-1 x T = L1/2at2 = acceleration x time = LT-2 x T2 = LAll three terms have units of length and hence this equation is dimensionally valid. Of course this does not tell us if the equation is physically correct, nor does it tell us whether the constant 1/2 is correct or not.
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Surface Tension (T) = Force × Length-1 . .
( 1) Since, Force = Mass × Acceleration.
And, acceleration = velocity × time-1 = [L T-2]
∴ The dimensional formula of force = M1 L1 T-2
Dimensional formula is an expression for the unit of a physical quantity in terms of the fundamental quantities. The fundamental quantities are mass (M), length (L), and time (T). A dimensional formula is expressed in terms of powers of M,L and T.
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